Programmatically creating an expanding UItableViewCell

Use vertical UIStackView with the bottom view isHidden set to true, then on tap (or whatever is the trigger of the expand) just change the isHidden = false. I guess that would be the easiest, considering how UIStackView deals with isHidden. Another approach is to setup autolayout constraints, and change height anchor of the bottom view by setting NSLayoutConstraint's constant to 0.

Anyway, whichever of the appraoch will you choose, you will have to tell the tableView to refresh its display (from the viewcontroller):

func refreshTableAfterCellExpansion() {
    self.tableView.beginUpdates()
    self.tableView.setNeedsDisplay()
    self.tableView.endUpdates()
}

E.g., check following SO question and its answer.

An example using playgrounds (the one with the UIStackView, the other one uses the same principle):

import UIKit
import PlaygroundSupport

class ExpandableCellViewController: UITableViewController, ExpandableCellDelegate {

    override func loadView() {
        super.loadView()

        tableView.rowHeight = UITableViewAutomaticDimension
        tableView.estimatedRowHeight = 44
        tableView.register(ExpandableCell.self, forCellReuseIdentifier: "expandableCell")
    }

    override func tableView(_ tableView: UITableView, numberOfRowsInSection section: Int) -> Int {
        return 5
    }

    override func tableView(_ tableView: UITableView, cellForRowAt indexPath: IndexPath) -> UITableViewCell {
        let cell = tableView.dequeueReusableCell(withIdentifier: "expandableCell", for: indexPath) as! ExpandableCell
        cell.delegate = self
        return cell
    }

    override func tableView(_ tableView: UITableView, didSelectRowAt indexPath: IndexPath) {
        if let cell = tableView.cellForRow(at: indexPath) as? ExpandableCell {
            cell.isExpanded = true
        }
    }

    override func tableView(_ tableView: UITableView, didDeselectRowAt indexPath: IndexPath) {
        if let cell = tableView.cellForRow(at: indexPath) as? ExpandableCell {
            cell.isExpanded = false
        }
    }

    func expandableCellLayoutChanged(_ expandableCell: ExpandableCell) {
        refreshTableAfterCellExpansion()
    }

    func refreshTableAfterCellExpansion() {
        self.tableView.beginUpdates()
        self.tableView.setNeedsDisplay()
        self.tableView.endUpdates()
    }
}

protocol ExpandableCellDelegate: class {
    func expandableCellLayoutChanged(_ expandableCell: ExpandableCell)
}

class ExpandableCell: UITableViewCell {
    weak var delegate: ExpandableCellDelegate?

    fileprivate let stack = UIStackView()
    fileprivate let topView = UIView()
    fileprivate let bottomView = UIView()

    var isExpanded: Bool = false {
        didSet {
            bottomView.isHidden = !isExpanded
            delegate?.expandableCellLayoutChanged(self)
        }
    }

    override init(style: UITableViewCellStyle, reuseIdentifier: String?) {
        super.init(style: style, reuseIdentifier: reuseIdentifier)

        selectionStyle = .none

        contentView.addSubview(stack)
        stack.addArrangedSubview(topView)
        stack.addArrangedSubview(bottomView)

        stack.translatesAutoresizingMaskIntoConstraints = false
        topView.translatesAutoresizingMaskIntoConstraints = false
        bottomView.translatesAutoresizingMaskIntoConstraints = false

        NSLayoutConstraint.activate([
            stack.topAnchor.constraint(equalTo: contentView.topAnchor),
            stack.leftAnchor.constraint(equalTo: contentView.leftAnchor),
            stack.rightAnchor.constraint(equalTo: contentView.rightAnchor),
            stack.bottomAnchor.constraint(equalTo: contentView.bottomAnchor),

            topView.heightAnchor.constraint(equalToConstant: 50),

            bottomView.heightAnchor.constraint(equalToConstant: 30),
            ])

        stack.axis = .vertical
        stack.distribution = .fill
        stack.alignment = .fill
        stack.spacing = 0

        topView.backgroundColor = .red
        bottomView.backgroundColor = .blue
        bottomView.isHidden = true
    }

    required init?(coder aDecoder: NSCoder) {
        fatalError("init(coder:) has not been implemented")
    }
}

// Present the view controller in the Live View window
PlaygroundPage.current.liveView = ExpandableCellViewController()